Question

The model represents an inequality. What is the solution set for the inequality?

Answer 1

Given:

The figure of an algebraic tiles model of an inequality.

To find:

The inequality for the given model.

Solution:

On the left hand side of the inequality sign in the model we have 8 tiles of x and 12 tiles of 1. So,

`LHS=8(x)+12(1)`

`LHS=8x+12`

On the right hand side of the inequality sign in the model we have 12 tiles of -1. So,

`RHS=12(-1)`

`RHS=-12`

Now, the inequality for the given model is:

`8x+12\geq -12`

Therefore, the required inequality for the given model is
`8x+12\geq -12`.